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Articolul precedent |
Articolul urmator |
262 2 |
Ultima descărcare din IBN: 2023-08-09 18:37 |
Căutarea după subiecte similare conform CZU |
512.7+515.1 (1) |
Algebră (410) |
Topologie (43) |
SM ISO690:2012 SUNIL KUMAR MAITY, , PAUL, Monika. Topological S-act congruence. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 2(48), pp. 275-286. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.23 |
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Quasigroups and Related Systems | ||||||
Volumul 30, Numărul 2(48) / 2022 / ISSN 1561-2848 | ||||||
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DOI:https://doi.org/10.56415/qrs.v30.23 | ||||||
CZU: 512.7+515.1 | ||||||
Pag. 275-286 | ||||||
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Rezumat | ||||||
In this paper, we establish the necessary and sufficient condition for an equivalence relation ρ on an S-act A endowed with a topology such that A/ρ becomes a Hausdorff topological S-act. Also, we show that if A1 and A2 be two topological S-acts, then for any homomorphism ϕ : A1 → A2, A1/ ker ϕ is a topological S-act if and only if ϕ is ϕ-saturated continuous. Moreover, we establish for any two congruences θ1 and θ2 on an S-act A endowed with a topology, θ1 ∩ θ2 is a topological S-act congruence on A if and only if the mapping ϕ : A → A/θ1 × A/θ2, defined by ϕ(a) = (aθ1, aθ2), for all a ∈ A, is ϕ-saturated continuous, where S is a topological semigroup. |
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